221022032 has 160 divisors (see below), whose sum is σ = 577891584. Its totient is φ = 79257600.

The previous prime is 221022017. The next prime is 221022073. The reversal of 221022032 is 230220122.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 221021998 and 221022016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1277498 + ... + 1277670.

Almost surely, 2^221022032 is an apocalyptic number.

221022032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221022032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288945792).

221022032 is an abundant number, since it is smaller than the sum of its proper divisors (356869552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221022032 is a wasteful number, since it uses less digits than its factorization.

221022032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 221022032 is about 14866.8097452009. The cubic root of 221022032 is about 604.6144500693.

Adding to 221022032 its reverse (230220122), we get a palindrome (451242154).

It can be divided in two parts, 2210 and 22032, that added together give a palindrome (24242).

The spelling of 221022032 in words is "two hundred twenty-one million, twenty-two thousand, thirty-two".